Steady Dendritic Growth with Natural Convection (II): The Case of PR ≫ 1 and Ḡ = O(1)

  • Jian-Jun Xu
Part of the Advances in Mechanics and Mathematics book series (AMMA, volume 7)


In this chapter, we study the case of Pr ≫ 1, but \(\overline G\) = O(1). For this case, we shall use ε2 = 1/Pr ≪ 1 as the basic small parameter, and look for the asymptotic expansion solution in the limit ε2 → 0.


Flow Field Natural Convection Dendritic Growth Peclet Number Buoyancy Effect 
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Copyright information

© Springer Science+Business Media Dordrecht 2003

Authors and Affiliations

  • Jian-Jun Xu
    • 1
  1. 1.Department of Mathematics and StatisticsMcGill UniversityMontrealCanada

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